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kipiarov [429]
3 years ago
6

Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her gr

andmother then gave her $20. In all,she has $53.
Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

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an architect has an annual income of $85,750. the income rax the professional has to pay is 6%. What is the amount of income tax
viktelen [127]

Answer:

85,750 x 6% = $5,145.00

Step-by-step explanation:

8 0
3 years ago
I was absent when we learned this, please help
Lapatulllka [165]
Part a
For horizontal 8*50% = 4 and for vertical 12*75%= 9.
So these values are less than the originals so the new frame is a reduction.
Part b
For horizontal 8*125% = 8*1.25 = 10 and for vertical 12*140% = 12*1.4 =16.8
So these values are greater than the originals sothe new frame is a enlargement.
5 0
3 years ago
Please helpppppppppppp
morpeh [17]

Answer:

7.7 km

Explanation:

Use cosine rule as here given two sides and one angle.

Cosine rule states:

a² = b² + c² - 2bc cos(A)

While solving, treat a = 7.5 km as to that opposite angle is given of 68°

then b = missing side, c = 5.2 km, A = 68°

Applying rule:

7.5² = b² + 5.2² - 2(b)(5.2) cos(68)

56.25 = b² + 27.04 - 3.8959b

56.25 - 27.04 = b² - 3.8959b

b² - 3.8959b = 29.21

b² - 3.8959b - 29.21 = 0

apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]

\sf b = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad\:when \:\ ax^2 + bx + c = 0

\sf b = \dfrac{ -(-3.8959) \pm \sqrt{(-3.8959)^2 - 4(1)(-29.21)}}{2(1)}

\sf b = 7.69 291 \quad or \quad b = -3.797

\sf b = 7.7 \quad (rounded \ to \ nearest \ tenth)

As length cannot be negative. Hence the value of b is only 7.7 km

7 0
2 years ago
Read 2 more answers
Need help with this. Hope someone can help
kirill115 [55]

To solve this problem, we must remember that the formula for volume is V = lwh, where l represents length, w represents width, and h represents height. Since we know the respective values for length, height, and volume, we can substitute those into the formula and then solve for the width, as modeled below:

30,000 cm³ = 30 cm * w * 500 mm

We must recognize first, though, that one of the values is given in millimeters, not centimeters. To continue solving this problem, we must convert this value to centimeters, using our knowledge that 1 cm = 10mm. This means that 500 mm = 50 cm, so we can substitute this into our equation below:

30,000 cm³ = 30 cm * w * 50 cm

To begin to solve this equation, we should first multiply all of the factors together on the right side of the equation, which gives us:

30,000 cm³ = 1,500w cm²

Next, we must divide both sides of the equation by 1,500 in order to get the variable w alone on the right side of the equation.

20 cm = w

Therefore, the width of the figure shown above is 20 cm.

Hope this helps!

4 0
3 years ago
Combine all like terms to simplify the expression.
Dvinal [7]

12x + 5 - 4x + 2x² =

= 2x² + 12x - 4x + 5 = <u>2x²</u><u> </u><u>+</u><u> </u><u>8x</u><u> </u><u>+</u><u> </u><u>5</u>

8 0
3 years ago
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